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arxiv: 0810.5565 · v1 · submitted 2008-10-30 · 🧮 math.PR · math.ST· stat.TH

Limit Behaviour of Sequential Empirical Measure Processes

classification 🧮 math.PR math.STstat.TH
keywords empiricallimitmeasureprocessessequentialappropriatebehaviourcentral
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In this paper, we obtain some uniform laws of large numbers and functional central limit theorems for sequential empirical measure processes indexed by classes of product functions satisfying appropriate Vapnik-Chervonenkis properties.

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